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Finding the Fourth Proportional to 12,400.28, 17,107.44 and 7,922.87

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Solution

The fourth proportional to 12,400.28, 17,107.44 and 7,922.87 is: 10,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.28 : 17,107.44 = 7,922.87 : x
  2. Step 2: Convert to fraction form
    12,400.28/17,107.44 = 7,922.87/x
  3. Step 3: Cross multiply
    12,400.28x = 17,107.44 × 7,922.87
  4. Step 4: Simplify right side
    12,400.28x = 135,539,983.54
  5. Step 5: Solve for x
    x = 135,539,983.54/12,400.28
  6. Step 6: Final answer
    x = 10,930.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.